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| Artikel-Nr.: 5667A-9783030574673 Herst.-Nr.: 9783030574673 EAN/GTIN: 9783030574673 |
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![](/p.gif) | Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unitgroups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. Weitere Informationen: ![](/p.gif) | ![](/p.gif) | Author: | John Voight | Verlag: | Springer International Publishing | Sprache: | eng |
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![](/p.gif) | Weitere Suchbegriffe: Open Access, Quaternions, Quaternion algebras, Quaternion orders, Quaternion ideals, Noncommutative algebra, Quaternions and quadratic forms, Ternary quadratic forms, Simple algebras and involutions, Lattices and integral quadratic forms, Hurwitz order |
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